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Finding the Fourth Proportional to 100,899.47, 138,232.95 and 97,115.96

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Solution

The fourth proportional to 100,899.47, 138,232.95 and 97,115.96 is: 133,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,899.47 : 138,232.95 = 97,115.96 : x
  2. Step 2: Convert to fraction form
    100,899.47/138,232.95 = 97,115.96/x
  3. Step 3: Cross multiply
    100,899.47x = 138,232.95 × 97,115.96
  4. Step 4: Simplify right side
    100,899.47x = 13,424,626,443.70
  5. Step 5: Solve for x
    x = 13,424,626,443.70/100,899.47
  6. Step 6: Final answer
    x = 133,049.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.